Analytical solutions to one-dimensional dissipative and discrete chaotic dynamics

D. Pingel, P. Schmelcher, and F. K. Diakonos
Phys. Rev. E 58, 369 – Published 1 July 1998
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Abstract

Analytical solutions to the chaotic and ergodic motion of a certain class of one-dimensional dissipative and discrete dynamical systems are derived. This allows us to obtain exact expressions for physical properties such as the time correlation function. We illustrate our solutions by means of a few examples for which conventional numerical trajectory calculations fail to predict the correct behavior.

  • Received 12 December 1997

DOI:https://doi.org/10.1103/PhysRevE.58.369

©1998 American Physical Society

Authors & Affiliations

D. Pingel and P. Schmelcher

  • Theoretische Chemie, Physikalisch-Chemisches Institut, Universität Heidelberg, Im Neuenheimer Feld 253, D-69120 Heidelberg, Germany

F. K. Diakonos

  • Department of Physics, University of Athens, GR-15771 Athens, Greece

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Vol. 58, Iss. 1 — July 1998

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